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Finding the Fourth Proportional to 17,456.52, 26,191.76 and 6,364

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Solution

The fourth proportional to 17,456.52, 26,191.76 and 6,364 is: 9,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.52 : 26,191.76 = 6,364 : x
  2. Step 2: Convert to fraction form
    17,456.52/26,191.76 = 6,364/x
  3. Step 3: Cross multiply
    17,456.52x = 26,191.76 × 6,364
  4. Step 4: Simplify right side
    17,456.52x = 166,684,360.64
  5. Step 5: Solve for x
    x = 166,684,360.64/17,456.52
  6. Step 6: Final answer
    x = 9,548.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.